• Corpus ID: 51853516

A Reidemeister-Schreier theorem for finitely $L$-presented groups

@article{Hartung2011ART,
  title={A Reidemeister-Schreier theorem for finitely \$L\$-presented groups},
  author={Ren{\'e} Hartung},
  journal={arXiv: Group Theory},
  year={2011}
}
  • René Hartung
  • Published 1 August 2011
  • Mathematics
  • arXiv: Group Theory
We prove a variant of the well-known Reidemeister-Schreier theorem for finitely $L$-presented groups. More precisely, we prove that each finite index subgroup of a finitely $L$-presented group is itself finitely $L$-presented. Our proof is constructive and it yields a finite $L$-presentation for the subgroup. We further study conditions on a finite index subgroup of an invariantly finitely $L$-presented group to be invariantly $L$-presented itself. 

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